There are lots of ways to make life easier for the members of your library, but the simplest might be to step back and rethink your website.
Don’t redesign your website. You will be tempted, especially if your website hasn’t received adequate attention in the past few years—but don’t do it. Learn from some of the most successful websites around. Amazon, Apple, Google, and Netflix have never done major redesigns. They’ve slowly evolved their sites instead. Like them, plan to make many small improvements constantly to your website through incremental iterative changes.